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Optimal Topology-Preservation Using Self-Organising Logical Neural Networks

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ICANN ’93 (ICANN 1993)

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Abstract

The topology-preservation characteristics of a self-organising system are studied in this paper. The system consists of a logical neural network with a structure based on the discriminator network and a method of training that presents certain similarities to Kohonen’s self-organising maps. In particular, the optimal neighbourhood size for the most accurate preservation of topological relationships is investigated. Experimental results presented in this paper indicate optimal ranges of values for some of the system’s parameters.

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References

  1. Aleksander, I. & Morion, H. (1990) An Introduction To Neural Computing. Chapman and Hall, England.

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  2. Kohonen, T. (1989) Self-Organisation and Associative Memory (3rd edition). Springer-Verlag, Heidelberg.

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  3. Kangas, J.A., Kohonen, T., & Laaksonen, J.T. (1991) Variants of Self-Organising Maps. IEEE Transactions on Neural Networks, Vol. 1, No. 1, pp. 93–99.

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  4. Tambouratzis, G. & Stonham, T.J. (1992a) A Logical Neural Network that Adapts to Changes in the Pattern Environment Proceedings of the II th IAPR International Conference on Pattern Recognition, The Hague, Netherlands, August 1992, Vol. 2, pp. 46–49.

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  5. Tambouratzis, G. & Stonham, T.J. (1992b) Implementing Hard Self-Organisation Tasks Using Logical Neural Networks. In Aleksander, I., & Taylor, J. (eds.) Artificial Neural Networks-2, Vol. 1, pp. 643–646. North-Holland, Amsterdam.

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  6. Tambouratzis, G. & Stonham, T.J. (1992c) Evaluating the Topology-Preservation Capabilities of a Self-Organising Logical Neural Network. Pattern Recognition Letters (in print).

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Author information

Authors and Affiliations

  1. Electrical Engineering Department, Brunel University, Howell Building, UB8 3PH, Uxbridge, Middlesex, UK

    G. Tambouratzis & T. J. Stonham

Authors
  1. G. Tambouratzis
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  2. T. J. Stonham
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Editor information

Editors and Affiliations

  1. Dutch Foundation for Neural Networks, University of Nijmegen, Geert Grooteplein 21, 6525 EZ, Nijmegen, The Netherlands

    Stan Gielen  & Bert Kappen  & 

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© 1993 Springer-Verlag London Limited

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Tambouratzis, G., Stonham, T.J. (1993). Optimal Topology-Preservation Using Self-Organising Logical Neural Networks. In: Gielen, S., Kappen, B. (eds) ICANN ’93. ICANN 1993. Springer, London. https://doi.org/10.1007/978-1-4471-2063-6_16

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  • DOI: https://doi.org/10.1007/978-1-4471-2063-6_16

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  • Publisher Name: Springer, London

  • Print ISBN: 978-3-540-19839-0

  • Online ISBN: 978-1-4471-2063-6

  • eBook Packages: Springer Book Archive

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